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2420738000 = 24531210369
BaseRepresentation
bin1001000001001001…
…1000011111010000
320020201001020020222
42100102120133100
514424202104000
61040112452212
7113662635122
oct22022303720
96221036228
102420738000
11103249731a
1257684a068
132c7699c65
1418d6db212
15e27c0a85
hex904987d0

2420738000 has 40 divisors (see below), whose sum is σ = 5853349320. Its totient is φ = 968294400.

The previous prime is 2420737999. The next prime is 2420738041. The reversal of 2420738000 is 8370242.

It can be written as a sum of positive squares in 4 ways, for example, as 27962944 + 2392775056 = 5288^2 + 48916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603185 + ... + 607184.

It is an arithmetic number, because the mean of its divisors is an integer number (146333733).

Almost surely, 22420738000 is an apocalyptic number.

2420738000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420738000 is an abundant number, since it is smaller than the sum of its proper divisors (3432611320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2420738000 is a wasteful number, since it uses less digits than its factorization.

2420738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210392 (or 1210376 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2420738000 is about 49200.9959248794. The cubic root of 2420738000 is about 1342.7111516470.

The spelling of 2420738000 in words is "two billion, four hundred twenty million, seven hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1210369 2420738 4841476 6051845 9682952 12103690 19365904 24207380 30259225 48414760 60518450 96829520 121036900 151296125 242073800 302592250 484147600 605184500 1210369000 2420738000